Acetate Taffeta

Acetate is a synthetic material that has a sheen to it (shiny) and has a slipper texture and drapes nicely.  IT has a silky appearance.

Taffeta is a type of weave.

References:

http://housekeeping.about.com/od/fabricglossary/g/fabric_acetate.htm

http://www.nyfashioncenterfabrics.com/acetate-fabrics.html

https://secure.wikimedia.org/wikipedia/en/wiki/Taffeta